Base | Representation |
---|---|
bin | 10111000010111011… |
… | …00100000000000000 |
3 | 1011221021011001121101 |
4 | 23201131210000000 |
5 | 200314333322244 |
6 | 5403414504144 |
7 | 615414002104 |
oct | 134135440000 |
9 | 34837131541 |
10 | 12372557824 |
11 | 5279a93900 |
12 | 2493665054 |
13 | 12223b8443 |
14 | 8552bb904 |
15 | 4c63130d4 |
hex | 2e1764000 |
12372557824 has 135 divisors (see below), whose sum is σ = 27546987531. Its totient is φ = 5552701440.
The previous prime is 12372557803. The next prime is 12372557843. The reversal of 12372557824 is 42875527321.
The square root of 12372557824 is 111232.
It is a perfect power (a square), and thus also a powerful number.
It is a super-2 number, since 2×123725578242 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156614617 + ... + 156614695.
Almost surely, 212372557824 is an apocalyptic number.
12372557824 is the 111232-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12372557824
12372557824 is an abundant number, since it is smaller than the sum of its proper divisors (15174429707).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12372557824 is an frugal number, since it uses more digits than its factorization.
12372557824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 208 (or 92 counting only the distinct ones).
The product of its digits is 940800, while the sum is 46.
The spelling of 12372557824 in words is "twelve billion, three hundred seventy-two million, five hundred fifty-seven thousand, eight hundred twenty-four".
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